Quantum Mechanics [GATE (Graduate Aptitude Test in Engineering) Physics]: Questions 1 - 5 of 80

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Question 1

Quantum Mechanics

Appeared in Year: 2014

Write in Short

Short Answer▾

A hydrogen atom is in the state

Where in denote the principal, orbital and magnetic quantum numbers, respectively. If is the angular momentum operator, the average value of is________ .

Question 2

Appeared in Year: 2014

Question

MCQ▾

A particle is confined to a one dimensional potential box with the potential

If the particle is subjected to a perturbation, within the box, , where is a small constant, the first order correction to the ground state energy is –

Choices

Choice (4)Response

a.

b.

c.

0

d.

Question 3

Appeared in Year: 2015

Question

MCQ▾

The average energy of a one dimensional quantum oscillator of frequency and in contact with a heat bath at temperature T is given by,

Choices

Choice (4)Response

a.

b.

c.

d.

Question 4

Quantum Mechanics

Appeared in Year: 2015

Question

MCQ▾

A particle is confined in a box of length as shown below,

A Particle is in Box

If the potential is treated as a perturbation, including the first order correction, the ground state energy is –

Choices

Choice (4)Response

a.

b.

c.

d.

Question 5

Appeared in Year: 2014

Write in Short

Short Answer▾

If and are the angular momentum ladder operators, then, the expectation value of , in the state of an atom is .

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